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Finding the Fourth Proportional to 209,127.76, 288,595.72 and 113,634.80

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Solution

The fourth proportional to 209,127.76, 288,595.72 and 113,634.80 is: 156,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,127.76 : 288,595.72 = 113,634.80 : x
  2. Step 2: Convert to fraction form
    209,127.76/288,595.72 = 113,634.80/x
  3. Step 3: Cross multiply
    209,127.76x = 288,595.72 × 113,634.80
  4. Step 4: Simplify right side
    209,127.76x = 32,794,516,923.06
  5. Step 5: Solve for x
    x = 32,794,516,923.06/209,127.76
  6. Step 6: Final answer
    x = 156,815.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.